A345040 a(n) = Sum_{k=0..n} Stirling2(n,k)^k.
1, 2, 3, 12, 268, 25853, 19339964, 68901690994, 1638901380861357, 363916628499805466764, 384738112277336112497203088, 4821999492342155731355029409443825, 448660704121129122524211570743600451959266, 270068948293205668896252888517768674319536620944042
Offset: 0
Keywords
Programs
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Mathematica
Unprotect[Power]; 0^0 = 1; Table[Sum[StirlingS2[n, k]^k, {k, 0, n}], {n, 0, 13}] -
PARI
a(n) = sum(k=0, n, stirling(n, k, 2)^k) \\ Felix Fröhlich, Jun 06 2021